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Finding the Fourth Proportional to 732.79, 1,097.77 and 654.90

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Solution

The fourth proportional to 732.79, 1,097.77 and 654.90 is: 981.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.79 : 1,097.77 = 654.90 : x
  2. Step 2: Convert to fraction form
    732.79/1,097.77 = 654.90/x
  3. Step 3: Cross multiply
    732.79x = 1,097.77 × 654.90
  4. Step 4: Simplify right side
    732.79x = 718,929.57
  5. Step 5: Solve for x
    x = 718,929.57/732.79
  6. Step 6: Final answer
    x = 981.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.